Pith Number

pith:TWLUJRWK

pith:2026:TWLUJRWKZMQBK7GKBPSF3EDTRE

not attested not anchored not stored refs pending

Spectral theory for population density dynamics of spiking neurons with refractoriness

Gianni Valerio Vinci., Luca Falorsi, Maurizio Mattia

arxiv:2607.20699 v1 · 2026-07-22 · q-bio.NC · math-ph · math.MP · math.SP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TWLUJRWKZMQBK7GKBPSF3EDTRE}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-07-24T00:23:30.190045Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9d9744c6cacb20157cca0be45d90738918983ac10bd57975fe031ae987da98cc

Aliases

arxiv: 2607.20699 · arxiv_version: 2607.20699v1 · doi: 10.48550/arxiv.2607.20699 · pith_short_12: TWLUJRWKZMQB · pith_short_16: TWLUJRWKZMQBK7GK · pith_short_8: TWLUJRWK

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/TWLUJRWKZMQBK7GKBPSF3EDTRE \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 9d9744c6cacb20157cca0be45d90738918983ac10bd57975fe031ae987da98cc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d72e6421a7072f81434a5852b6fe0fb3566bb61a829fcdabc9ca60b805b18ebe",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-bio.NC",
    "submitted_at": "2026-07-22T20:11:37Z",
    "title_canon_sha256": "424e1f0cece0d75afd9a6babd655e1192b3129aac72fbdfbacdb16d686068421"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.20699",
    "kind": "arxiv",
    "version": 1
  }
}